%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP234^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:04:50 AM UTC 2026
% Result : Theorem 24.55s 10.66s
% Output : CNFRefutation 24.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 190 ( 4 ~; 0 |; 0 &; 186 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
list_VEBT_VEBT: $tType ).
thf(decl_sort3,type,
vEBT_VEBT: $tType ).
thf(decl_378,type,
list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(decl_401,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_766,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(decl_768,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(decl_779,type,
vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_817,type,
i: nat ).
thf(decl_820,type,
mi: nat ).
thf(decl_821,type,
na: nat ).
thf(decl_823,type,
treeList: list_VEBT_VEBT ).
thf(conj_0,conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.idtxFLEoy8/E---3.1_1798419.p',conj_0) ).
thf(fact_1_insprop,axiom,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ ( vEBT_VEBT_high @ mi @ na ) )
= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.idtxFLEoy8/E---3.1_1798419.p',fact_1_insprop) ).
thf(fact_0_True,axiom,
( i
= ( vEBT_VEBT_high @ mi @ na ) ),
file('/export/starexec/sandbox2/tmp/tmp.idtxFLEoy8/E---3.1_1798419.p',fact_0_True) ).
thf(c_0_3,negated_conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
!= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
!= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
!= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ ( vEBT_VEBT_high @ mi @ na ) )
= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(split_conjunct,[status(thm)],[fact_1_insprop]) ).
thf(c_0_7,plain,
( i
= ( vEBT_VEBT_high @ mi @ na ) ),
inference(split_conjunct,[status(thm)],[fact_0_True]) ).
thf(c_0_8,negated_conjecture,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
!= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ i @ ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ mi @ na ) ) ) @ i )
= ( vEBT_vebt_insert @ ( nth_VEBT_VEBT @ treeList @ i ) @ ( vEBT_VEBT_low @ mi @ na ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7]),c_0_7]),c_0_9]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP234^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n004.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 20:25:37 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.25 Running higher-order theorem proving
% 3.14/3.21 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.idtxFLEoy8/E---3.1_1798419.p
% 24.55/10.66 % Version: 3.5.1-ho
% 24.55/10.66 % partial match(1): HMLMSMSMSSLCHFA
% 24.55/10.66 % Preprocessing class: HMLMSMLMSSLCHFA.
% 24.55/10.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.55/10.66 % Starting new_ho_10 with 1500s (5) cores
% 24.55/10.66 % Starting sh5l with 300s (1) cores
% 24.55/10.66 % Starting new_bool_1 with 300s (1) cores
% 24.55/10.66 % Starting new_bool_2 with 300s (1) cores
% 24.55/10.66 % new_bool_1 with pid 1798552 completed with status 0
% 24.55/10.66 % Result found by new_bool_1
% 24.55/10.66 % partial match(1): HMLMSMSMSSLCHFA
% 24.55/10.66 % Preprocessing class: HMLMSMLMSSLCHFA.
% 24.55/10.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.55/10.66 % Starting new_ho_10 with 1500s (5) cores
% 24.55/10.66 % Starting sh5l with 300s (1) cores
% 24.55/10.66 % Starting new_bool_1 with 300s (1) cores
% 24.55/10.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 24.55/10.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 24.55/10.66 % Search class: HGHSM-SMLM32-DHFFFSBN
% 24.55/10.66 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 24.55/10.66 % Starting SubtermCWHack with 30s (1) cores
% 24.55/10.66 % SubtermCWHack with pid 1798560 completed with status 0
% 24.55/10.66 % Result found by SubtermCWHack
% 24.55/10.66 % partial match(1): HMLMSMSMSSLCHFA
% 24.55/10.66 % Preprocessing class: HMLMSMLMSSLCHFA.
% 24.55/10.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.55/10.66 % Starting new_ho_10 with 1500s (5) cores
% 24.55/10.66 % Starting sh5l with 300s (1) cores
% 24.55/10.66 % Starting new_bool_1 with 300s (1) cores
% 24.55/10.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 24.55/10.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 24.55/10.66 % Search class: HGHSM-SMLM32-DHFFFSBN
% 24.55/10.66 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 24.55/10.66 % Starting SubtermCWHack with 30s (1) cores
% 24.55/10.66 % Preprocessing time : 0.129 s
% 24.55/10.66
% 24.55/10.66 % Proof found!
% 24.55/10.66 % SZS status Theorem
% 24.55/10.66 % SZS output start CNFRefutation
% See solution above
% 24.55/10.66 % Parsed axioms : 9032
% 24.55/10.66 % Removed by relevancy pruning/SinE : 6986
% 24.55/10.66 % Initial clauses : 8591
% 24.55/10.66 % Removed in clause preprocessing : 3489
% 24.55/10.66 % Initial clauses in saturation : 5102
% 24.55/10.66 % Processed clauses : 34100
% 24.55/10.66 % ...of these trivial : 6475
% 24.55/10.66 % ...subsumed : 18653
% 24.55/10.66 % ...remaining for further processing : 8971
% 24.55/10.66 % Other redundant clauses eliminated : 1298
% 24.55/10.66 % Clauses deleted for lack of memory : 0
% 24.55/10.66 % Backward-subsumed : 262
% 24.55/10.66 % Backward-rewritten : 381
% 24.55/10.66 % Generated clauses : 216059
% 24.55/10.66 % ...of the previous two non-redundant : 181504
% 24.55/10.66 % ...aggressively subsumed : 0
% 24.55/10.66 % Contextual simplify-reflections : 68
% 24.55/10.66 % Paramodulations : 214642
% 24.55/10.66 % Factorizations : 22
% 24.55/10.66 % NegExts : 0
% 24.55/10.66 % Equation resolutions : 1322
% 24.55/10.66 % Disequality decompositions : 0
% 24.55/10.66 % Total rewrite steps : 69857
% 24.55/10.66 % ...of those cached : 59739
% 24.55/10.66 % Propositional unsat checks : 0
% 24.55/10.66 % Propositional check models : 0
% 24.55/10.66 % Propositional check unsatisfiable : 0
% 24.55/10.66 % Propositional clauses : 0
% 24.55/10.66 % Propositional clauses after purity: 0
% 24.55/10.66 % Propositional unsat core size : 0
% 24.55/10.66 % Propositional preprocessing time : 0.000
% 24.55/10.66 % Propositional encoding time : 0.000
% 24.55/10.66 % Propositional solver time : 0.000
% 24.55/10.66 % Success case prop preproc time : 0.000
% 24.55/10.66 % Success case prop encoding time : 0.000
% 24.55/10.66 % Success case prop solver time : 0.000
% 24.55/10.66 % Current number of processed clauses : 8032
% 24.55/10.66 % Positive orientable unit clauses : 3069
% 24.55/10.66 % Positive unorientable unit clauses: 17
% 24.55/10.66 % Negative unit clauses : 2618
% 24.55/10.66 % Non-unit-clauses : 2328
% 24.55/10.66 % Current number of unprocessed clauses: 151824
% 24.55/10.66 % ...number of literals in the above : 445861
% 24.55/10.66 % Current number of archived formulas : 0
% 24.55/10.66 % Current number of archived clauses : 645
% 24.55/10.66 % Clause-clause subsumption calls (NU) : 2359262
% 24.55/10.66 % Rec. Clause-clause subsumption calls : 569264
% 24.55/10.66 % Non-unit clause-clause subsumptions : 3022
% 24.55/10.66 % Unit Clause-clause subsumption calls : 1691918
% 24.55/10.66 % Rewrite failures with RHS unbound : 0
% 24.55/10.66 % BW rewrite match attempts : 7100
% 24.55/10.66 % BW rewrite match successes : 425
% 24.55/10.66 % Condensation attempts : 0
% 24.55/10.66 % Condensation successes : 0
% 24.55/10.66 % Termbank termtop insertions : 3777295
% 24.55/10.66 % Search garbage collected termcells : 176675
% 24.55/10.66
% 24.55/10.66 % -------------------------------------------------
% 24.55/10.66 % User time : 6.234 s
% 24.55/10.66 % System time : 0.214 s
% 24.55/10.66 % Total time : 6.448 s
% 24.55/10.66 % Maximum resident set size: 40480 pages
% 24.55/10.66
% 24.55/10.66 % -------------------------------------------------
% 24.55/10.66 % User time : 7.135 s
% 24.55/10.66 % System time : 0.255 s
% 24.55/10.66 % Total time : 7.390 s
% 24.55/10.66 % Maximum resident set size: 24832 pages
% 24.55/10.66 % E exiting
%------------------------------------------------------------------------------